anonymous
  • anonymous
Is this answer correct? The point P(18, 24) is on the terminal side of θ. Evaluate sin θ. =4/3
Mathematics
chestercat
  • chestercat
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swissgirl
  • swissgirl
hmm what does it mean to be on the terminal side of theta?
anonymous
  • anonymous
Oh I see. Thanks for the diagram. So it is 4/3
swissgirl
  • swissgirl
nope i had to switch it cuz i cldnt evaluate 4/3 only 3/4

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swissgirl
  • swissgirl
smth is wrong hmmmm i must have drawn the pic incorrectly
anonymous
  • anonymous
well the possible answers are 4/5 4/3 3/5 3/4
anonymous
  • anonymous
and I evaluated with 24/18 and just simplified the answer to 4/3. Is that wrong?
swissgirl
  • swissgirl
ohhh i see my mess up sin is opposite over hypotnuse |dw:1350264991894:dw|
swissgirl
  • swissgirl
\( r^2=18^2+24^2\) \( r^2=900\) \(r=30\)
swissgirl
  • swissgirl
\( sin( \theta) = \large \frac {24}{30}=\frac {4} {5}\)
swissgirl
  • swissgirl
by the way r=hypotnuse
swissgirl
  • swissgirl
\(Sin( \theta)= \frac{opposite}{hypoynuse}\)
anonymous
  • anonymous
So the answer is 4/5? Damn, I was way off.
swissgirl
  • swissgirl
well we forgot about the hypotnuse lol
anonymous
  • anonymous
makes sense. :P Thanks for catching that.

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